January  2006, 6(1): 151-167. doi: 10.3934/dcdsb.2006.6.151

Traveling waves in compressible elastic rods

1. 

Department of Mathematics, Lund University, PO Box 118, 22100 Lund, Sweden

Received  August 2004 Revised  September 2005 Published  October 2005

We determine all weak traveling wave solutions of a model for nonlinear dispersive waves in cylindrical compressible hyperelastic rods. Besides the previously known smooth, peaked, and cusped solutions, the equation is shown to admit compactons, stumpons, and fractal-like waves.
Citation: Jonatan Lenells. Traveling waves in compressible elastic rods. Discrete & Continuous Dynamical Systems - B, 2006, 6 (1) : 151-167. doi: 10.3934/dcdsb.2006.6.151
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